• TENSOR PRODUCT OF A NEAR-FIELD SPACE AND SUB NEAR-FIELD SPACE OVER A NEAR-FIELD

Dr. N. V. NAGENDRAM*

Abstract


A tensor product of near-field space and sub near-field space over a near-field defined. But it turned out to be an abelian group. In order to avoid this special situation, this concept is generalized further by Dr N V Nagendram in this paper. Now there are two tensor products for the same pair of sub near-field spaces of a near-field space over a near-field. This situation fits better in the theory of near-field spaces and their sub near-field spaces over a near-field. It has been seen here that there may be two dual near-field spaces for a pair of sub near-field spaces over a near-field.


Keywords


sub near-field space, near-field space, semi simple near-field space, ordered Euclidean near-field spaces, vector lattices.

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